SOLUTION: How do you set this word problem up in algebra equation and solve for x?suzy invested part of her 12,000 bonus in fund that paid 10% pfofit and invested the rest in stock that suff

Algebra ->  Average -> SOLUTION: How do you set this word problem up in algebra equation and solve for x?suzy invested part of her 12,000 bonus in fund that paid 10% pfofit and invested the rest in stock that suff      Log On


   



Question 259908: How do you set this word problem up in algebra equation and solve for x?suzy invested part of her 12,000 bonus in fund that paid 10% pfofit and invested the rest in stock that suffered 3% loss find amt of each investment if her overall net profit was 550?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
suzy invested part of her 12,000 bonus in fund that paid 10% profit and invested the rest in stock that suffered 3% loss find amt of each investment if her overall net profit was 550
--------------------
Quantity Eq: x + y = 12000
Interest Eq:0.10x - (0.03)y = 550 dollars
=============================================
Multiply thru the 1st equation by 10.
Multiply thru the 2nd equation by 100.
---
10x + 10y = 120000
10x - 3y = 55000
---------------------------------
Subtract the 2nd Eq from the 1st and solve for "y"
13y = 65000
y = $5000.00 (amt. that suffered a 3% loss)
----------
Since x+y = 12000, x = $7000.00 (amt. that gained 10%)
=========================================================
Cheers,
Stan H.